12544420240 has 160 divisors (see below), whose sum is σ = 32364178560. Its totient is φ = 4483891200.

The previous prime is 12544420193. The next prime is 12544420243. The reversal of 12544420240 is 4202444521.

12544420240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12544420199 and 12544420208.

It is not an unprimeable number, because it can be changed into a prime (12544420243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15279030 + ... + 15279850.

It is an arithmetic number, because the mean of its divisors is an integer number (202276116).

Almost surely, 2^12544420240 is an apocalyptic number.

12544420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12544420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182089280).

12544420240 is an abundant number, since it is smaller than the sum of its proper divisors (19819758320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12544420240 is a wasteful number, since it uses less digits than its factorization.

12544420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 12544420240 its reverse (4202444521), we get a palindrome (16746864761).

The spelling of 12544420240 in words is "twelve billion, five hundred forty-four million, four hundred twenty thousand, two hundred forty".